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Finding the Third Proportional to 60,305 and 128,623

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Solution

The third proportional to 60,305 and 128,623 is: 274,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,305 : 128,623 = 128,623 : x
  2. Step 2: Convert to fraction form
    60,305/128,623 = 128,623/x
  3. Step 3: Cross multiply
    60,305x = 128,623 × 128,623
  4. Step 4: Simplify right side
    60,305x = 16,543,876,129
  5. Step 5: Solve for x
    x = 16,543,876,129/60,305
  6. Step 6: Final answer
    x = 274,336.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.